Last updated on July 1st, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1373.
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times.
When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative.
This is because a negative number multiplied by itself three times results in a negative number.
The cube of 1373 can be written as \(1373^3\), which is the exponential form.
Or it can also be written in arithmetic form as, 1373 × 1373 × 1373.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (\(a^3\)), or by using a calculator.
These three methods will help students to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
By Multiplication Method Using a Formula Using a Calculator
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition.
It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. \(13733 = 1373 × 1373 × 1373\)
Step 2: You get 2,586,967,717 as the answer. Hence, the cube of 1373 is 2,586,967,717.
The formula (a+b)3(a + b)^3(a+b)3 is a binomial formula for finding the cube of a number. It expands as:
(a+b)3=a3+3a2b+3ab2+b3(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3(a+b)3=a3+3a2b+3ab2+b3
Step 1: Split the number 1373 into two parts:
a=1300a = 1300a=1300 and b=73b = 73b=73, so a+b=1373a + b = 1373a+b=1373.
Step 2: Now, apply the formula:
(a+b)3=a3+3a2b+3ab2+b3(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3(a+b)3=a3+3a2b+3ab2+b3
Step 3: Calculate each term:
a³ = 1300³ = 2,197,000,000
3a²b = 3 × 1300² × 73 = 370,530,000
3ab² = 3 × 1300 × 73² = 20,803,500
b³ = 73³ = 389,017
Step 4: Add all the terms together:
(1300 + 73)³ = 1300³ + 3 × 1300² × 73 + 3 × 1300 × 73² + 73³
= 2,197,000,000 + 370,530,000 + 20,803,500 + 389,017
= 2,586,967,717
So:
1373³ = 2,586,967,717
Step 5:
Hence, the cube of 1373 is 2,586,967,717.
To find the cube of 1373 using a calculator, input the number 1373 and use the cube function (if available) or multiply:
1373 × 1373 × 1373.
This operation calculates the value of 1373³, resulting in 2,586,967,717. It’s a quick way to determine the cube without manual computation.
Steps:
Ensure the calculator is functioning properly.
Press 1, then 3, 7, and 3.
If the calculator has a cube function, press it to calculate 1373³.
If there is no cube function, simply multiply 1373 three times manually.
The calculator will display 2,586,967,717.
The cube of any even number is always even, while the cube of any odd number is always odd.
The product of two or more perfect cube numbers is always a perfect cube.
A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
There are some typical errors that students might make during the process of cubing a number.
Let us take a look at five of the major mistakes that students might make:
What is the cube and cube root of 1373?
The cube of 1373 is 2,586,967,717 and the cube root of 1373 is approximately 11.083.
First, let’s find the cube of 1373.
We know that the cube of a number is given by:
x³ = y
where x is the given number, and y is the cubed value of that number.
So, we get:
1373³ = 2,586,967,717.
Next, we must find the cube root of 1373.
We know that the cube root of a number is given by:
∛x = y
where x is the given number, and y is the cube root value of the number.
So, we get:
∛1373 ≈ 11.083.
Hence, the cube of 1373 is 2,586,967,717 and the cube root of 1373 is approximately 11.083.
If the side length of the cube is 1373 cm, what is the volume?
The volume is 2,586,967,717 cm³.
Use the volume formula for a cube:
V = Side³
Substitute 1373 for the side length:
V = 1373³ = 2,586,967,717 cm³
How much larger is 1373³ than1300³?
1373³ − 1300³ = 389,967,717
First, find the cube of 1373:
1373³ = 2,586,967,717
Next, find the cube of 1300:
1300³ = 2,197,000,000
Now, find the difference using subtraction:
2,586,967,717 − 2,197,000,000 = 389,967,717
Therefore, 1373³ is 389,967,717 larger than 1300³.
If a cube with a side length of 1373 cm is compared to a cube with a side length of 700 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1373 cm is 2,586,967,717 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1373 means multiplying 1373 by itself three times: 1373 × 1373 = 1,884,529, and then 1,884,529 × 1373 = 2,586,967,717.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,586,967,717 cm³.
Estimate the cube of 1372 using the cube of 1373.
The cube of 1372 is approximately 2,586,967,717.
First, identify the cube of 1373:
1373³ = 2,586,967,717.
Since 1372 is only a tiny bit less than 1373, the cube of 1372 will be almost the same as the cube of 1373.
The cube of 1372 is approximately 2,586,967,717, because the difference between 1372 and 1373 is very small.
So, we can approximate the value as 2,586,967,717.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.